![](https:///quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https:///quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https:///quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https:///quesimg/Upload/formula/1242a37759cdb21f155f0d23061e15f6.png)
(1)证明:
![](https:///quesimg/Upload/formula/5a2264c134952d41fb9bcb90e6c72c83.png)
(2)若
![](https:///quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https:///quesimg/Upload/formula/4591580503dedac54af20a746c5c3b51.png)
![](https:///quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](http://static.xuejinqu.com/images/y-prise.png)
同类型试题
![](http://static.xuejinqu.com/images/medal.png)
y = sin x, x∈R, y∈[–1,1],周期为2π,函数图像以 x = (π/2) + kπ 为对称轴
y = arcsin x, x∈[–1,1], y∈[–π/2,π/2]
sin x = 0 ←→ arcsin x = 0
sin x = 1/2 ←→ arcsin x = π/6
sin x = √2/2 ←→ arcsin x = π/4
sin x = 1 ←→ arcsin x = π/2
![](http://static.xuejinqu.com/images/avatar.png)
![](http://static.xuejinqu.com/images/avatar.png)
y = sin x, x∈R, y∈[–1,1],周期为2π,函数图像以 x = (π/2) + kπ 为对称轴
y = arcsin x, x∈[–1,1], y∈[–π/2,π/2]
sin x = 0 ←→ arcsin x = 0
sin x = 1/2 ←→ arcsin x = π/6
sin x = √2/2 ←→ arcsin x = π/4
sin x = 1 ←→ arcsin x = π/2
![](http://static.xuejinqu.com/images/avatar.png)
![](http://static.xuejinqu.com/images/avatar.png)